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2.-7. Use the following to answer numbers 2-7 In the figure below, RTS is an isosceles triangle with sides SR=RT, TVU is an equilateral triangle, WT is the bisector of angle STV, points S, T, and U are collinear, and c = 40 degrees. Find the following measures: 2. a b + c f bT a a u b+f 3. 4. 5. 7. 6. a+d e+g S W eg 55

2.-7. Use the following to answer numbers 2-7 In the figure below, RTS is an isosceles triangle with sides SR=RT, TVU is an equilateral triangle, WT is the bisector of angle STV, points S, T, and U are collinear, and c = 40 degrees. Find the following measures: 2. a b + c f bT a a u b+f 3. 4. 5. 7. 6. a+d e+g S W eg 55

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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--- ### Geometry Problem Set #### Questions 2 - 7: **Use the following information to answer numbers 2 - 7** In the figure below, RTS is an isosceles triangle with sides \(SR = RT\), \(TVU\) is an equilateral triangle, \(\overrightarrow{WT}\) is the bisector of angle \(STV\), points \(S\), \(T\), and \(U\) are collinear, and \(c = 40\) degrees. **Find the following measures:** **2.** \(a\) ___________ **3.** \(b + c\) ___________ **4.** \(f\) ___________ **5.** \(b + f\) ___________ **6.** \(a + d\) ___________ **7.** \(e + g\) ___________ #### Detailed Diagram Description: Below the problem statement, a diagram is presented depicting the geometric relationships described. The key points and elements shown are: 1. **Triangle \(RTS\)** is clearly marked as isosceles with \(SR = RT\). 2. **Triangle \(TVU\)** is explicitly marked as equilateral. 3. **Line Segment \(\overrightarrow{WT}\)** is shown bisecting \(\angle STV\). 4. **Points \(S\), \(T\), and \(U\)** are shown to lie on a straight line. 5. Measurement \(c\) is labeled as 40 degrees. Various angles and segment labels (such as a, b, f, e, etc.) are annotated corresponding to the positions surrounding and within the triangles and line segments. --- This detailed transcription should help users on an educational website to understand and solve the problem by referring to the given information and diagram.
Transcribed Image Text:--- ### Geometry Problem Set #### Questions 2 - 7: **Use the following information to answer numbers 2 - 7** In the figure below, RTS is an isosceles triangle with sides \(SR = RT\), \(TVU\) is an equilateral triangle, \(\overrightarrow{WT}\) is the bisector of angle \(STV\), points \(S\), \(T\), and \(U\) are collinear, and \(c = 40\) degrees. **Find the following measures:** **2.** \(a\) ___________ **3.** \(b + c\) ___________ **4.** \(f\) ___________ **5.** \(b + f\) ___________ **6.** \(a + d\) ___________ **7.** \(e + g\) ___________ #### Detailed Diagram Description: Below the problem statement, a diagram is presented depicting the geometric relationships described. The key points and elements shown are: 1. **Triangle \(RTS\)** is clearly marked as isosceles with \(SR = RT\). 2. **Triangle \(TVU\)** is explicitly marked as equilateral. 3. **Line Segment \(\overrightarrow{WT}\)** is shown bisecting \(\angle STV\). 4. **Points \(S\), \(T\), and \(U\)** are shown to lie on a straight line. 5. Measurement \(c\) is labeled as 40 degrees. Various angles and segment labels (such as a, b, f, e, etc.) are annotated corresponding to the positions surrounding and within the triangles and line segments. --- This detailed transcription should help users on an educational website to understand and solve the problem by referring to the given information and diagram.
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